Psychology and human Behavior According to a recent survey 1

Psychology and human Behavior.

According to a recent survey, 11% of men ages 50 to 64 now color their hair. Many men feel this is necessary in order to remain competitive in the workplace.

Suppose four men ages 50 to 64 are selected at random.

(a) What is the probability (± 0.00000001) that all four color their hair?

P(All 4 color their hair) =

(b) What is the probability (± 0.000001) that exactly one of the four occurred during final approach or landing?

P(1 of 4 colors his hair) =

(c) Suppose none of the four colors his hair.

Is there any evidence to suggest that the study\'s claim is not correct?

What is the probability (± 0.0001) that none of the four occurred during final approach or landing?

P(0 of 4 color their hair) (± 0.0001) =

Conclusion:

There is no evidence to suggest the study’s claim is falseThere is evidence to suggest the study’s claim is false

The probability that none of the six air traffic control towers will be closed is _(Answer 1)_.

The probability that at most two of the air traffic control towers will be closed is _(Answer 2)_.

The probability that at least four of the air traffic control towers will be closed is _(Answer 3)_.

?

11.

Psychology and human Behavior. According to a recent survey, 11% of men ages 50 to 64 now color their hair. Many men feel this is necessary in order to remain competitive in the workplace. Suppose four men ages 50 to 64 are selected at random. (a) What is the probability (± 0.00000001) that all four color their hair? P(All 4 color their hair) = (b) What is the probability (± 0.000001) that exactly one of the four occurred during final approach or landing? P(1 of 4 colors his hair) = (c) Suppose none of the four colors his hair. Is there any evidence to suggest that the study\'s claim is not correct? What is the probability (± 0.0001) that none of the four occurred during final approach or landing? P(0 of 4 color their hair) (± 0.0001) = Conclusion: There is no evidence to suggest the study’s claim is falseThere is evidence to suggest the study’s claim is false 13. The given table lists all of the possible outcomes for an experiment, the probability of each outcome, and the value of a random variable assigned to each outcome. Fill in the blanks to construct the probability distribution for X. (Give your answers to two decimal places.) x 1 2 3 4 p(x) _(Answer 1)_ _(Answer 2) _(Answer 3)_ _(Answer 4)_ 14. Administration identified 149 air traffic control towers that would be closed. In a group of 20 air traffic control towers in the Midwest, five will be closed. Suppose six of the 20 air traffic control towers are selected at random. Fill in the blanks. (Give your answers to four decimal places.) The probability that none of the six air traffic control towers will be closed is _(Answer 1)_. The probability that at most two of the air traffic control towers will be closed is _(Answer 2)_. The probability that at least four of the air traffic control towers will be closed is _(Answer 3)_. Answer 1 Answer 2 Answer 3 Answer 1 Answer 2 Answer 3 Answer 4 Equation Editor :

Solution

11.

a)

P(all four) = 0.11^4 = 0.00014641 [answer]

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b)

Note that the probability of x successes out of n trials is          
          
P(n, x) = nCx p^x (1 - p)^(n - x)          
          
where          
          
n = number of trials =    4      
p = the probability of a success =    0.11      
x = the number of successes =    1      
          
Thus, the probability is          
          
P (    1   ) =    0.31018636 [answer]

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c)

P(all did not color) = (1-0.11)^4 = 0.62742241 [answer]

As this is pretty much usual, this cannot be used as evidence against the claim.

Thus,

There is no evidence to suggest the study’s claim is false. [FIRST OPTION, ANSWER]

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